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Finding the Fourth Proportional to 7,347.30, 11,019.93 and 2,082.70

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Solution

The fourth proportional to 7,347.30, 11,019.93 and 2,082.70 is: 3,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.30 : 11,019.93 = 2,082.70 : x
  2. Step 2: Convert to fraction form
    7,347.30/11,019.93 = 2,082.70/x
  3. Step 3: Cross multiply
    7,347.30x = 11,019.93 × 2,082.70
  4. Step 4: Simplify right side
    7,347.30x = 22,951,208.21
  5. Step 5: Solve for x
    x = 22,951,208.21/7,347.30
  6. Step 6: Final answer
    x = 3,123.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.